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Finding the Third Proportional to 156,071,937 and 361,416,229.50

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Solution

The third proportional to 156,071,937 and 361,416,229.50 is: 836,932,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071,937 : 361,416,229.50 = 361,416,229.50 : x
  2. Step 2: Convert to fraction form
    156,071,937/361,416,229.50 = 361,416,229.50/x
  3. Step 3: Cross multiply
    156,071,937x = 361,416,229.50 × 361,416,229.50
  4. Step 4: Simplify right side
    156,071,937x = 130,621,690,945,996,672
  5. Step 5: Solve for x
    x = 130,621,690,945,996,672/156,071,937
  6. Step 6: Final answer
    x = 836,932,593.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.